A new model for correlating self-diffusion coefficients is proposed here. It based on the entropy scaling concept and makes it possible to quantitatively estimate in any fluid state (subcritical gas liquid as well supercritical states). general relationship between a dimensionless form of coefficient function Tv-residual proposed. This involves thermodynamic properties that were straightforward...

A method of Hurwitz-Radon Matrices (MHR) is proposed to be used in parametrization and interpolation of contours in the plane. Suitable parametrization leads to curvature calculations. Points with local maximum curvature are treated as feature points in object recognition and image analysis. The matrices are skew-symmetric and possess columns composed of orthogonal vectors. The operator of Hurw...

We consider a confidence parametrization of binary information sources in terms of appropriate likelihood ratios. This parametrization is used for Bayesian belief updates and for the equivalent comparison of binary experiments. In contrast to the standard parametrization of a binary information source in terms of its specificity and its sensitivity, one of the two confidence parameters is suffi...

We outline a strategy for showing convergence of loop-erased random walk on the Z square lattice to SLE(2), in the supremum norm topology that takes the time parametrization of the curves into account. The discrete curves are parametrized so that the walker moves at a constant speed determined by the lattice spacing, and the SLE(2) curve has the recently introduced natural time parametrization....

We consider the benchmark problem of magnetic energy density enhancement in a small spatial region by varying the shape of two symmetric conducting scatterers. We view this problem as a prototype for a wide variety of geometric design problems in electromagnetic applications. Our approach for solving this problem is based on shape optimization and isogeometric analysis. One of the major difficu...

We consider a non-standard parametrization, where, for problems consisting of a combinatorial structure and a number, we parameterize by the combinatorial structure, rather than by the number. For example, in the Short-Nondeterministic-Halt problem, which is to determine if a nondeterministic machine M accepts the empty string in t steps, we parameterize by |M |, rather than t. We call such par...

In this short paper we deal with problems of controller parametrization in the context of behavioral systems. Given a full plant behavior, a subbehavior of the manifest plant behavior is called regularly implementable if it can be achieved as the controlled behavior resulting from the interconnection of the full plant behavior with a suitable controller behavior, in such a way that the number o...

We show that maximal causal curves for a Lipschitz continuous Lorentzian metric admit $\mathcal{C}^{1,1}$-parametrization and they solve the geodesic equation in sense of Filippov this parametrization. Our proof shows are either everywhere lightlike or timelike. Furthermore, demonstrates an $\alpha$-H\"older $\mathcal{C}^{1,\frac{\alpha}{4}}$-parametrization.

Quantum Fisher information is a central quantity in quantum metrology. We discuss an alternative representation of quantum Fisher information for unitary parametrization processes. In this representation, all information of parametrization transformation, i.e., the entire dynamical information, is totally involved in a Hermitian operator H. Utilizing this representation, quantum Fisher informat...

We have calculated constraints on the evolution of the equation of state of the dark energy, w(z), from a joint analysis of data from the cosmic microwave background, large scale structure and type-Ia supernovae. In order to probe the timeevolution of w we propose a new, simple parametrization of w, which has the advantage of being transparent and simple to extend to more parameters as better d...